Estimación Robusta de Estados en Presencia de Incertidumbre Paramétricas por Medio de Observadores NL-PI. Una Aplicación a Cultivo Continuo de Microorganismos (Robust State Estimation in Presence of Parametric Uncertainty by NL-PI observers. An Application to Continuous Microbial Cultures)

Abraham Efraim Rodríguez Mata (arodriguez@ctrl.cinvestav.mx)1, Jorge Torres Muñoz (jtorres@ctrl.cinvestav.mx)1, Jose Ricardo Pérez Correa (perez@ing.puc.cl)2, Alma Rosa Domínguez Bocanegra (adomin@cinvestav.mx)3, Ricardo Luna (rlluna@uc.cl)2, Gerardo Flores (gflorescolunga@gmail.com)4


1Departamento de Control Automático, CINVESTAV
2Departamento de Ing. Química y Bioprocesos, Pontificia Universidad Católica de Chile
3Departamento de Ingeniería Química y Bioquímica, Tecnológico de Estudios Superiores de Ecatepec
4UMI Cinvestav

This paper appears in: Revista IEEE América Latina

Publication Date: March 2016
Volume: 14,   Issue: 3 
ISSN: 1548-0992


Abstract:
A state observer with integral action, robust and applicable to uniformly observable systems,is presented in this paper. Asymptotic stability of these observers is demonstrated applying Lyapunov convergence functions. In addition, it is shown that high-gain observers with integral action (NL-PI) provide robust estimation, despite parametric variabilities normally observed in bioreactors. The advantages of the proposed design are compared with a classical high gain observerthrough simulations and real-time cultivations of Saccharomyces cerevisiae.

Index Terms:
High gain, nonlinear observers, parametric disturbance, bioreactor culture.   


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